f(x)=(x+2)*(x+2)+(2*x-3)*(2*x-3)

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Solution for f(x)=(x+2)*(x+2)+(2*x-3)*(2*x-3) equation: 


Simplifying
f(x) = (x + 2)(x + 2) + (2x + -3)(2x + -3)

Multiply f * x
fx = (x + 2)(x + 2) + (2x + -3)(2x + -3)

Reorder the terms:
fx = (2 + x)(x + 2) + (2x + -3)(2x + -3)

Reorder the terms:
fx = (2 + x)(2 + x) + (2x + -3)(2x + -3)

Multiply (2 + x) * (2 + x)
fx = (2(2 + x) + x(2 + x)) + (2x + -3)(2x + -3)
fx = ((2 * 2 + x * 2) + x(2 + x)) + (2x + -3)(2x + -3)
fx = ((4 + 2x) + x(2 + x)) + (2x + -3)(2x + -3)
fx = (4 + 2x + (2 * x + x * x)) + (2x + -3)(2x + -3)
fx = (4 + 2x + (2x + x2)) + (2x + -3)(2x + -3)

Combine like terms: 2x + 2x = 4x
fx = (4 + 4x + x2) + (2x + -3)(2x + -3)

Reorder the terms:
fx = 4 + 4x + x2 + (-3 + 2x)(2x + -3)

Reorder the terms:
fx = 4 + 4x + x2 + (-3 + 2x)(-3 + 2x)

Multiply (-3 + 2x) * (-3 + 2x)
fx = 4 + 4x + x2 + (-3(-3 + 2x) + 2x * (-3 + 2x))
fx = 4 + 4x + x2 + ((-3 * -3 + 2x * -3) + 2x * (-3 + 2x))
fx = 4 + 4x + x2 + ((9 + -6x) + 2x * (-3 + 2x))
fx = 4 + 4x + x2 + (9 + -6x + (-3 * 2x + 2x * 2x))
fx = 4 + 4x + x2 + (9 + -6x + (-6x + 4x2))

Combine like terms: -6x + -6x = -12x
fx = 4 + 4x + x2 + (9 + -12x + 4x2)

Reorder the terms:
fx = 4 + 9 + 4x + -12x + x2 + 4x2

Combine like terms: 4 + 9 = 13
fx = 13 + 4x + -12x + x2 + 4x2

Combine like terms: 4x + -12x = -8x
fx = 13 + -8x + x2 + 4x2

Combine like terms: x2 + 4x2 = 5x2
fx = 13 + -8x + 5x2

Solving
fx = 13 + -8x + 5x2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = 13x-1 + -8 + 5x

Simplifying
f = 13x-1 + -8 + 5x

Reorder the terms:
f = -8 + 13x-1 + 5x

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